@article{Gao2026, 
author = {Ying Gao and Lantao You and Yuejuan Han},
title = {Embedding edge-disjoint Hamiltonian cycles in complete Josephus cubes with applications to fault-tolerant data broadcasting},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {7},
pages = {20085-20102},
keywords = {edge-disjoint, Hamiltonian cycle, complete Josephus cube, fault tolerance, interconnection network},
url = {https://www.sciopen.com/article/10.3934/math.2026816},
doi = {10.3934/math.2026816},
abstract = {Edge-disjoint Hamiltonian cycles, abbreviated as EDHCs, provide multiple edge-disjoint communication paths for data broadcasting, which greatly enhance the reliability and fault tolerance of data transmission. The complete Josephus cube    C  J      C    n   possesses many desirable properties as a typical interconnection network. In this paper, we focus on the construction of EDHCs in    C  J      C    n  . We prove that there exist two EDHCs in    C  J      C    n   when    n  ≥  3, and three EDHCs in    C  J      C    n   when    n  ≥  4.}
}